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Finding the Fourth Proportional to 115,329.40, 172,994.10 and 31,089.40

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Solution

The fourth proportional to 115,329.40, 172,994.10 and 31,089.40 is: 46,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,329.40 : 172,994.10 = 31,089.40 : x
  2. Step 2: Convert to fraction form
    115,329.40/172,994.10 = 31,089.40/x
  3. Step 3: Cross multiply
    115,329.40x = 172,994.10 × 31,089.40
  4. Step 4: Simplify right side
    115,329.40x = 5,378,282,772.54
  5. Step 5: Solve for x
    x = 5,378,282,772.54/115,329.40
  6. Step 6: Final answer
    x = 46,634.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.